1. A consumer has a utility function u(x,x,)=x} +x3 and the budget constraint is ôv(p,I)/op; ôv(p,I)/ôI P,X; + P,x, = I, P» P2,I >0 . Check the Roy's identity o,(p,1) = for i = 1,2. 9(p,1) is the Marshallian demand function, v=v(p,I) is the indirect utility function.

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1. A consumer has a utility function u(x, X, )= x² + x3
and the budget constraint is
ôv(p,I)/ôp;
P,x, + P2x, = I, P,P2,I >0 . Check the Roy's identity o,(p,I) =-
for
ôv(p,I)/ôI
i = 1,2.
P(p,I) is the Marshallian demand function, v= v(p,I) is the indirect utility
function.
Transcribed Image Text:1 1 1. A consumer has a utility function u(x, X, )= x² + x3 and the budget constraint is ôv(p,I)/ôp; P,x, + P2x, = I, P,P2,I >0 . Check the Roy's identity o,(p,I) =- for ôv(p,I)/ôI i = 1,2. P(p,I) is the Marshallian demand function, v= v(p,I) is the indirect utility function.
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